Topological confinement in graphene bilayer quantum rings

TL;DR

This paper demonstrates localized electron and hole states in a graphene bilayer quantum ring with potential kinks, revealing analytical solutions and Aharonov-Bohm oscillations related to the ring's properties.

Contribution

It provides an analytical solution for carrier states in a bilayer graphene ring with sharp potential steps, highlighting topological confinement effects.

Findings

Existence of localized interfacial states in graphene bilayer rings

Analytical solutions for Dirac equation near potential kinks

Observation of Aharonov-Bohm oscillations in the system

Abstract

We demonstrate the existence of localized electron and hole states in a ring-shaped potential kink in biased bilayer graphene. Within the continuum description, we show that for sharp potential steps the Dirac equation describing carrier states close to the K (or K') point of the first Brillouin zone can be solved analytically for a circular kink/anti-kink dot. The solutions exhibit interfacial states which exhibit Aharonov-Bohm oscillations as functions of the height of the potential step and/or the radius of the ring.